A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers represent how many cars can pass per hour. Max s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows Node 8 Flows Node 9 Flows Node F Flows 500 300 Max Flow on Arcs all x,, z 0 for all i and j. ☐☐☐☐☐☐☐☐☐☐☐ 5 600 300 400 400 200 Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x,, represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of inequalities.) 150 7 300 200 500 400 350 300 600 300 450 500 10
A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers represent how many cars can pass per hour. Max s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows Node 8 Flows Node 9 Flows Node F Flows 500 300 Max Flow on Arcs all x,, z 0 for all i and j. ☐☐☐☐☐☐☐☐☐☐☐ 5 600 300 400 400 200 Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x,, represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of inequalities.) 150 7 300 200 500 400 350 300 600 300 450 500 10
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:A network of railway lines connects the main lines entering and leaving a city. Speed limits, track reconstruction, and train length restrictions lead to the flow diagram below, where the numbers
represent how many cars can pass per hour.
Max
s.t.
Node 1 Flows
Node 2 Flows
Node 3 Flows
Node 4 Flows
Node 5 Flows
Node 6 Flows
Node 7 Flows
Node 8 Flows
Node 9 Flows
Node F Flows
500
300
Max Flow on Arcs
all x,, z 0 for all i and j.
00000
600
300
400
Formulate an LP to find the maximal flow in cars per hour from node 1 to node 10. (Let x,, represent the flow from node i to node j. Enter your maximum flows as a comma-separated list of
inequalities.)
400
150
200 300
200
500
400
350
300
600
300
450
500
10
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